基于数学建模方法的最小二乘法的教法研究

Research on Least Squares Teaching Based on Mathematical Modeling Methods

以“身高、体重和鞋码之间的关系”为例,按照“学情分析”“教学设计”“课堂实施”和“教学反馈与反思”的顺序,展示运用数学建模的方法进行最小二乘法教学的过程.首先介绍基于学情分析的适合一线课堂的教学设计,随后通过课堂实施、教学反馈和反思,探究适合以数学建模方式进行教学的教学内容类型,揭示在此类课堂上数学建模教学模式体现出的优势;最后着眼于学生的课堂体验及素养提升给出教学策略建议.为在一线高中课堂中,数学建模教学模式的实践和数学建模核心素养的落地提供参考.

This paper focuses on how mathematical modelling is taught in a regular(45 minutes)math class.Taking the class"the relationship between height,weight and shoe code"as an example,the paper introduces the whole process of least squares teaching,covering"student analysis","class design","class implementation"and"students'feedback,class reflection and improvement".The class design suitable for first-line class based on the analysis of students,and the type of teaching content suitable for teaching by mathematical modeling are discussed.The advantages of this kind of teaching by mathematical modeling are revealed.Strategy suggestions based on the students'experience and core competence improvement are given so as to provide reference for front-line teachers.